Geodesic
Systematization of wavelet transforms
Numerical methods and programming, Tome 2 (2001) no. 3, pp. 15-40.

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This paper is an attempt to systemize some frequently used variants of wavelet transforms. The following classification features are proposed: a type of input signals (discrete or continuous); a dimension of signals; the presence of redundant information; the norm preservation, etc. Various kinds of representations used for wavelet transforms and several methods used commonly for processing the signals defined on bounded intervals are introduced and compared.
Keywords: wavelet transforms, signal processing, image processing, numerical methods, fast transforms. 
@article{VMP_2001_2_3_a2,
     author = {A. V. Pereberin},
     title = {Systematization of wavelet transforms},
     journal = {Numerical methods and programming},
     pages = {15--40},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a2/}
}
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A. V. Pereberin. Systematization of wavelet transforms. Numerical methods and programming, Tome 2 (2001) no. 3, pp. 15-40. http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a2/